**Which of the following is the independent variable in the equation below?**

**A(f) = 92 + 2f**

f

2

A

92

*Correct Answer : A*

Given the equation A(f)=92+2f

To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.

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Related Questions

### Correct Answer is A

#### Explanation

The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.

### Correct Answer is D

#### Explanation

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

*X = 18 Feet*

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5Â high is 18Â feet.

### Correct Answer is A

#### Explanation

Given the equation A(f)=92+2f

To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.

### Correct Answer is C

#### Explanation

Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows

9 yards is equal to 822.96 cm, which is about 823 cm.

### Correct Answer is B

#### Explanation

The percentage change in weight is found in three steps below:

Absolute change in weight=final weight-initial weight

Absolute change in weight=(left|120-153 ight|=left|-33 ight|=33)

Relative change in weight=*(frac{absolute change}{initial weight}=frac{33}{153}=0.216)*

Percent change=relative change * 100%

Percent change=0.216*100%=21.6%

The percent change in weight lost is 21.6 %, which is about 22%.

### Correct Answer is B

#### Explanation

Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.

### Correct Answer is C

#### Explanation

C organizes the collection correctly.

### Correct Answer is C

#### Explanation

We follow the order of operations to solve the given expression. The order of operations is PEMDAS:

- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)

First, we start with the numerator and solve it as follows

[3(6+5*4)]

We start with multiplication in parenthesis, 5*4=20. The expression becomes

[3(6+20)]

Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

The expression reduces into 6.

### Correct Answer is B

#### Explanation

A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.

A scatter plot used to show the correlation between two variables.

A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.

From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.

### Correct Answer is D

#### Explanation

We are asked to find the number of cups of flour that will be used to make 90 cookies.

First, we convert 2 Â¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 60, the above equation result to

Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.

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